Question

reflect point c over the dashed line. enter the new coordinates. c = ( ?, )

Explanation:

Step1: Find distance to line

The dashed - line is \(x = 1\). The \(x\) - coordinate of point \(C\) is \(2\). The distance between \(x = 2\) and \(x = 1\) is \(d=|2 - 1|=1\).

Step2: Calculate new x - coordinate

To reflect over the line \(x = 1\), we move the same distance on the other side of the line. So the new \(x\) - coordinate is \(1-1 = 0\).

Step3: Note y - coordinate

The \(y\) - coordinate remains the same during a reflection over a vertical line. The \(y\) - coordinate of point \(C\) is \(1\), so the new \(y\) - coordinate of \(C'\) is also \(1\).

Answer:

\((0,1)\)